1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
murzikaleks [220]
3 years ago
13

Given f(x) = 1/3(4 – x)^2 , what is the value of f(16)?

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

48

Step-by-step explanation:

Plug in 16 to the function:

f(16)=1/3(4-16)^2

=1/3(-12)^2

=144(1/3)

=48

You might be interested in
Four sisters bought a present for their mother. They received a 10% discount on the original price of the gift. After the discou
Orlov [11]

Answer:

$40

Step-by-step explanation:

x is the original price of the gift

(10% of x) is the value of the discount

(10% of x) = 10/100 . x = 0.1 x

0.1 x    is the value of the discount

x - (10% of x) is what was paid, after the discount

x - 0.1 x = 0.9 x

0.9 x    is what was paid

4 children paid $9/each

4 times $9 = $36

$36 is the total amount that was paid by the children

$36 = 0.9 x

$36 / 0.9 = x

x = $36 / 0.9 = 360 / 9

x = 40

;-)

4 0
4 years ago
The figure below is a right rectangular prism. which expression represents the volume of the prism?
Leviafan [203]

Answer: The expression (equation/formula) for the volume of a:  

     " right rectangular prism " ;   is represented by:

____________________________________________________

                    →   " V  =  L * w * h  "   ;

____________________________________________________

in which:   all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;  

and in which:

      " V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as:  "units³ "  ;  or, [insert the particular units used}^ ³  "   ;

  →  that is, [units] raised to the "3rd [third] power" ; assuming these units are the same  same "fundamental units of measurement"  as the "other 2 (two) values in the expression".  

    If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ;  of a "right rectangular prism" as:  " units ³ " ; or "cubic units" ;

        in our answer— if we are asked to solve for the:

                     "volume; "V";  of a "right rectangular prism" ;

_________________________________________________

and in which:  

            "L" represents the "length" of a "right rectangular prism" ;

            "w" represents the "width" of a "right rectangular prism" ;

            "h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

  Say we have a "right rectangular prism" ; with the given measurements:

    width , "w" :   w = 2 units;  

    length, "L"  :    L  = 3 units ;

    height, "h" :    h =  8 units.

_________________________________________________

We are asked to "find the volume " ;  of this "right recentangular prism" .

The formula for the volume;  "V" ;  of this "right rectangular prism" ;

is:

_________________________________________________

          →    Volume  =  Length * width * height ;

that is:

          →    V =  L  * w * h  ;  

Solve for the volume;  "V" .

_________________________________________________

          →   V  =  L  * w * h   ;    Now plug in the values given:

          →   V =  (3 units)  * (2 units)  * (8 units) ;

                   

                    =  3 * 2 * 8 * (units) * (units) * (units) ;

                    =  3 * 2 * 8 * units ³  ;

                    =  48 units ³ .    

_________________________________________________                    

Hope this answer— and explanation—is helpful to you!

     Wishing you the best in your academic pursuits

               — and within the "Brainly" community!

_________________________________________________

4 0
3 years ago
Read 2 more answers
What is b1 and r of geometrical sequence if b3 −b1 = 16 and b5 −b3 = 144.
Naily [24]

Answer:

b1 = 2 ; r = 3

Step-by-step explanation:

Given that :

if b3 −b1 = 16 and b5 −b3 = 144.

For a geometric series :

Ist term = a

Second term = ar

3rd term = ar^2

4th term = ar^3

5th term = ar^4 ;...

If b3 - b1 = 16;

ar^2 - a = 16

a(r^2 - 1) = 16 - - - (1)

b5 - b3 = 144

ar^4 - ar^2 = 144

ar^2(r^2 - 1) = 144 - - - - (2)

Divide (1) by (2)

a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144

a / ar^2 = 1 / 9

ar^2 = 9a

Substitute for a in ar^2 - a = 16

9a - a = 16

8a = 16

a = 2

From ar^2 - a = 16

2r^2 - 2 = 16

2r^2 = 16 + 2

2r^2 = 18

r^2 = 18 / 2

r^2 = 9

r = √9

r = 3

Hence ;

a = b1 = 2 ; r = 3

7 0
3 years ago
At a grocery store 4.5 pounds of meat cost $14.67. What is the cost of the meat per pound?
Elan Coil [88]

Answer:

$3.26

Step-by-step explanation:

If 4.5 pounds cost $14.67

You divide 14.67 by 4.5 which gives you 3.26

8 0
3 years ago
Mama's Italian Restaurant has collected data about customer sauce orders. It calculated that P(marinara) = 0.82, P(alfredo) = 0.
Keith_Richards [23]
P ( m ) = 0.82
P ( a ) = 0.76
P ( m or a ) = 0.96
P ( m and a ) = ?
--------------------------
P ( m or a ) = P ( m ) + P ( a ) - P ( m and a )
P ( m and a ) = P ( m ) + P ( a ) - P ( m or a ) =
= 0.82 + 0.76 - 0.96 = 0.62
Answer: P ( marinara and alfredo ) = 0.62
7 0
3 years ago
Other questions:
  • Simplify: 3m/m-6*5m^3-30m^2/5m^2<br>A.7<br>B.m+7<br>C.m+8<br>D.3m
    6·2 answers
  • Ahhhhhhhhhhhh help I need help please
    9·1 answer
  • 3.2 is what percent of 159.2
    5·1 answer
  • What is the MAXIMUM amount you should be spending on housing in a situation where your GROSS INCOME is $2000 per month? For rent
    12·1 answer
  • Charisse is buying two different types of cereals from the bulk bins at the store. Granola costs $2.29 per pound and muesli cost
    5·1 answer
  • If f(x) = -x + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f +g)(x)?<br> -
    7·1 answer
  • There are 53 oranges in a box that contains a total of 77 pieces of fruit. How many oranges need to be added so that the box con
    15·1 answer
  • What is geometric mean of 4 and 9?<br> A)6<br> B)7 <br> C)5<br> D)8<br> please help fast!!
    5·1 answer
  • A group of randomly selected members of the Foodies Food club were asked to pick their favorite type of food. The bar graph belo
    8·2 answers
  • How many terms are in the following expression?<br> -4a +8C -4b +3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!